# How to differentiate 3/π sinx°?

Let,

So,

By signing up, you agree to our Terms of Service and Privacy Policy

To differentiate ( \frac{3}{\pi} \sin(x) ):

Apply the product rule, where ( u = \frac{3}{\pi} ) and ( v = \sin(x) ).

( \frac{d}{dx}(uv) = u'v + uv' )

( \frac{d}{dx}\left(\frac{3}{\pi} \sin(x)\right) = \frac{d}{dx}\left(\frac{3}{\pi}\right) \sin(x) + \frac{3}{\pi} \frac{d}{dx}(\sin(x)) )

The derivative of ( \frac{3}{\pi} ) with respect to ( x ) is 0 since it's a constant.

The derivative of ( \sin(x) ) with respect to ( x ) is ( \cos(x) ).

Therefore, the derivative of ( \frac{3}{\pi} \sin(x) ) with respect to ( x ) is ( \frac{3}{\pi} \cos(x) ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the derivative of #y=4 sec ^2(x)#?
- How do you find an equation of the tangent line to the curve #y = arcsin(x/2)# at the point where #x = −sqrt2#?
- How do you take the derivative of #tan(sqrt x)#?
- How do you find the derivitive of Inverse trig function #y = csc^-1(x^2+1)#?
- How do you find the derivative of the function: #sin[arccos(x)]#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7